Nonlinear Phenomena in Complex Systems, 2021, Vol.24, No.2, pp.145

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2021, Vol.24, No.2, pp.145 - 155

Cuspon-type Waves and Their Properties

G. Omel'yanov

The general Degasperis-Prosesi equation (gDP) describes the evolution of the water surface in a unidirectional shallow water approximation. We consider essentially non-integrable versions of this model and analyze their cuspon-type solutions, that is continuous traveling waves with the unbounded first derivative.

Key words: general Degasperis-Procesi model, weak solutions, cuspon, asymptotics

DOI: https://doi.org/10.33581/1561-4085-2021-24-2-145-155

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